# A projectile is shot from the ground at a velocity of #47 m/s# and at an angle of #(pi)/2#. How long will it take for the projectile to land?

##### 2 Answers

The time is

#### Explanation:

Resolving in the vertical direction

initial velocity is

Acceleration is

At the maximum height,

We apply the equation of motion

to calculate the time to reach the greatest height

The time for the projectile to land is

#### Explanation:

If you carefully look into the question:

#pi/2=180/2=90^circ#

So, To solve, we use

#color(blue)(v=u+at#

Where,

#color(orange)(v="Final velocity"=0#

#color(orange)(u="Initial velocity"=47 m/s#

#color(orange)(a="Acceleration"=-9.8# (As, gravity pulls down)

#color(orange)(t="Time"# (We need to find it)

Let's solve for

Now we have found the time for the projectile to reach its maximum height

So,

Hope this helps.. :)